20 tools
Free online math calculators that show every step — algebra, fractions, statistics, calculus, and more.
A ratio calculator simplifies, scales, and compares ratios. Enter two or more values to reduce a ratio to its simplest form or solve a missing term in a proportion.
Open ratio calculatorA proportion calculator solves equations of the form a/b = c/d. Fill in three values and the tool finds the fourth using cross-multiplication, with the work shown.
Open proportion calculatorA fraction calculator adds, subtracts, multiplies, divides, and simplifies fractions. Enter your expression and get an exact, reduced answer with each step explained.
Open fraction calculatorA percentage increase calculator measures how much a value has grown relative to where it started. Enter the original and new values to get the percent change, with the formula shown.
Open percentage increase calculatorA percentage difference calculator compares two values of similar status when neither is the original. Enter both to get a symmetric percent difference using their average as the base.
Open percentage difference calculatorA factor calculator breaks a number or polynomial down into the pieces that multiply together to make it. Type your expression and get the full factorization with a clear, step-by-step explanation.
Open factor calculatorA slope calculator finds the steepness and direction of the line through two points. Enter the coordinates and get the slope, plus the related point-slope and slope-intercept forms.
Open slope calculatorAn algebra calculator solves equations, simplifies expressions, factors polynomials, and expands products. Type your problem and get a full worked solution for every algebraic move.
Open algebra calculatorA quadratic formula calculator solves any equation of the form ax² + bx + c = 0. Enter the three coefficients to get both roots, the discriminant, and a full worked solution.
Open quadratic formula calculatorA calculus solver works out derivatives, integrals, and limits with full working. Enter a function and the operation, and read a step-by-step solution rather than just the final value.
Open calculus solverAn integral calculator finds antiderivatives and definite integrals. Enter a function (and bounds if needed) to get the result with each integration rule applied step by step.
Open integral calculatorA derivative calculator differentiates functions and shows each rule. Enter an expression to get its derivative with the power, product, quotient, and chain rules applied step by step.
Open derivative calculatorA statistics calculator summarizes a data set in one step — mean, median, mode, range, variance, and standard deviation. Paste your numbers and read off every measure of center and spread.
Open statistics calculatorA standard deviation calculator measures how spread out a data set is around its mean. Enter your values to get the standard deviation, variance, and mean in one pass.
Open standard deviation calculatorAn average calculator finds the arithmetic mean of any list of numbers. Enter your values to get the mean along with the sum and count that produced it.
Open average calculatorA long division calculator divides multi-digit numbers and lays out every step. Enter the dividend and divisor to see the quotient, remainder, and the full written working.
Open long division calculatorA simplify calculator reduces a math expression to its simplest form — combining like terms, canceling common factors, and applying arithmetic rules until nothing more can be reduced. Enter your expression and get the simplified result with each step explained.
Open simplify calculatorA square root calculator finds the number that, multiplied by itself, equals your input. Enter a value to get its square root, including results like the square root of 2 or 144.
Open square rootFill in the boxes, get exact answers instantly — plus an AI tutor that explains every step.
A cylinder volume calculator with two boxes: enter the radius r and height h to get the volume V = πr²h instantly, plus total and lateral surface area, worked examples, and the mistakes a cylinder volume calculator catches.
Open cylinder volume calculatorA law of cosines calculator with three boxes: enter sides a and b plus the included angle C to get the third side c and both remaining angles instantly - the Pythagorean theorem that works for any triangle.
Open law of cosines calculatorA law of sines calculator with three boxes: enter a side and the two angles of your triangle to get both remaining sides and the third angle instantly - no right angle required.
Open law of sines calculatorFill in the boxes, get exact answers instantly — plus an AI tutor that explains every step.
An absolute value calculator for the two everyday cases: type a number, or type the arithmetic hiding between the bars - either way one distance comes back, and the number-line picture below explains why it never comes back negative. The absolute value calculator below takes both forms in one click.
Open absolute value calculatorAn absolute value equations calculator with three boxes: type the parts of |a·x + b| = c and get both solutions, with the no-solution check built in - no sign flips to do by hand.
Open absolute value equations calculatorThe bars measure distance, and an absolute value inequality asks how far is still acceptable. This absolute value inequalities calculator takes the three numbers in $|ax + b| < c$ - or $>$, $\le$, $\ge$ - and returns the two endpoints that bound the answer. One click decides the endpoints and their joining word together.
Open absolute value inequalities calculatorAn elimination calculator with steps: type the six coefficients of your two equations and the form returns x and y at once. The page then shows how to solve by elimination, one worked example at a time. You make one pair of coefficients opposites, add or subtract the equations, and check the result. Six numbers and one click run the elimination calculator; the examples rebuild every step by hand.
Open elimination calculatorEvery equation is a question in disguise: which number makes this true? This solve equation calculator answers it - type an equation into the box, press Calculate, and the exact solution comes back in one line. Below the tool, the page walks the same three moves by hand, from plain linear equations to ones with two answers, so you can check the calculator's work and learn the method at the same time. Every worked example below runs on the solve equation calculator first, then repeats by hand.
Open solve equation calculatorA gaussian elimination calculator for a pair of linear equations: set the grid from 2x2 up to 6x6, type the coefficients, and the augmented matrix is solved instantly - determinant first, then the solution vector, with every row operation the gaussian elimination calculator performs explained.
Open gaussian elimination calculatorThis inequality calculator solves one-variable inequalities like ax + b < c in one click: three numbers in, the boundary point and the solution set out — flip rule handled. It is the inequality calculator for quick homework checks, and one inequality calculator for every linear inequality.
Open inequality calculatorA linear equation calculator with two modes: type a, b, c to solve ax + b = c in one click, or add a second equation and the same form works as a 2x2 linear system solver - exact answers either way.
Open linear equation calculatorA polynomial long division calculator with six boxes: type the coefficients of your dividend and divisor, and the quotient and remainder appear instantly. The page also teaches the full vertical method, step by step. The polynomial long division calculator form and the lesson share the same six numbers.
Open polynomial long division calculatorA 3 by 4 photo enlarges cleanly to 9 by 12 - bigger, yet stubbornly the same shape. That sameness is a ratio at work, and the sentence $3 : 4 = 9 : 12$ tying the prints together is a proportion. This ratio and proportion calculator solves such sentences for the missing term: fill three boxes, click Calculate, and the fourth falls out by cross-multiplication. The ratio and proportion calculator asks for exactly those three.
Open ratio and proportion calculatorA rational expressions calculator with one box: type any rational algebraic expression to get its simplified form, the excluded values, and every factoring step explained.
Open rational expressions calculatorA sequence calculator with one small form: pick Arithmetic or Geometric, enter the first term, the common difference or common ratio, and n. The sequence calculator returns the nth term and the sum of the first n terms instantly.
Open sequence calculatorA substitution calculator with steps: type the six coefficients of your two equations and the form returns x and y at once. The page then shows how to solve by substitution - solve one equation, substitute into the other, check - one worked example at a time. Six numbers and one click run the substitution calculator; the examples rebuild every step by hand.
Open substitution calculatorA synthetic division calculator with five boxes: type the coefficients of your cubic and the divisor root k, and the quotient and remainder appear instantly. The page also teaches the full multiply-add tableau beside the synthetic division calculator, step by step. The synthetic division calculator form and the lesson share the same five numbers.
Open synthetic division calculatorThis systems of equations calculator takes a 2x2 or 3x3 linear system and finishes it in one click. Type the coefficients into the grid, hit Calculate, and the page returns the determinant plus the exact solution. Below the tool, every solving method is explained step by step, so this page teaches while it computes.
Open systems of equations calculatorA two step equations calculator for the ax + b = c form: type the three numbers, and the two step equations calculator undoes them in reverse order - subtraction first, division second - then hands you x, with every step and the check shown below the form.
Open two step equations calculatorA y intercept calculator with four boxes: type the two points, and the form returns the slope m, the intercept b, and the line y = mx + b - the AI tutor on this page explains every step.
Open y intercept calculatorFill in the boxes, get exact answers instantly — plus an AI tutor that explains every step.
A normal distribution calculator with three boxes: enter x, the mean μ and the standard deviation σ to get the z-score, the left-tail probability P(X < x) and P(X > x) instantly.
Open normal distribution calculatorA standard error calculator with two boxes: enter the sample standard deviation s and sample size n to get the standard error of the mean SE = s/√n instantly, plus the 90% and 95% margins of error.
Open standard error calculatorA z score calculator with steps: type your values. The AI works out the z score, what it means, and the percentile.
Open z score calculatorFill in the boxes, get exact answers instantly — plus an AI tutor that explains every step.
An antiderivative calculator with steps: type any function. The engine finds its antiderivative instantly, and the AI explains every rule it used.
Open antiderivative calculatorAn implicit differentiation calculator with one box: move your equation to F(x, y) = 0 and type the left side. Enter x^2+y^2-25, for example, and get the slope dy/dx instantly. Worked examples below use the same implicit differentiation calculator numbers.
Open implicit differentiation calculatorAn infinite sum calculator for geometric series: type the first term a and the common ratio r, check whether the series converges, and get the infinite sum S = a/(1-r) plus the first n partial sums.
Open infinite sum calculatorA partial derivative calculator with one math box and one dropdown: enter f(x, y), pick x or y, and get the partial derivative instantly - every other variable held constant, every rule intact.
Open partial derivative calculator